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ozzi
3 years ago
7

Need help step by step

Mathematics
1 answer:
lukranit [14]3 years ago
4 0
My work is in the photo. I'm only still typing because it requires me to have atleast 20 characters

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Let Ebe the set of all even positive integers in the universe Zof integers, and XE : Z R be the characteristic function of E.
AnnZ [28]

Answer:

\mathbf{X_E (2) =  1}

\mathbf{X_E (-2) = 0 }  

\mathbf{\{ x \in Z: X_E(x) = 1\}  = E}

Step-by-step explanation:

Let E be the set of all even positive integers in the universe Z of integers,

i.e

E = {2,4,6,8,10 ....∞}

X_E : Z \to R be the characteristic function of E.

∴

X_E(x) = \left \{ {{1 \ if  \ x \ \  is \ an \ element \ of \ E} \atop {0 \ if  \ x \ \  is \ not \ an  \ element \ of \ E}} \right.

For XE(2)

\mathbf{X_E (2) =  1}  since x is an element of E (i.e the set of all even numbers)

For XE(-2)

\mathbf{X_E (-2) = 0 }   since  - 2 is less than 0 , and -2 is not an element of E

For { x ∈ Z: XE(x) = 1}

This can be read as:

x which is and element of Z such that X is also an element of x which is equal to 1.

∴

\{ x \in Z: X_E(x) = 1\} = \{ x \in Z | x \in E\} \\ \\  \mathbf{\{ x \in Z: X_E(x) = 1\}  = E}

E = {2,4,6,8,10 ....∞}

5 0
3 years ago
As an estimation we are told 5 miles is 8 km.<br>Convert 100 km to miles​
dimulka [17.4K]

Answer: 100km = 62.5 miles.

Step-by -step explanation: given 5miles = 8km. now, 5miles — 8km. X miles — 100km. now do cross multiplication.

4 0
3 years ago
How do you find x and y on the hypotenuse and long side of a roght triangle
DanielleElmas [232]
By pythagorean thoerm u can find
Hy^2=length^2+base^2
8 0
3 years ago
The principal of East High School wants to buy a new cover for the sand pit used in the long-jump competition. He measured the s
Ganezh [65]

Answer: area is 286.16 ft²

Step-by-step explanation:

Length of the sand pit is 29.2 feet and the width is 9.8 feet.

L= 29.2 ft

W = 9.8 ft

To find out the area, all we have to do is multiply the lenght by the width:

And do not forget that to calculate the area, all units must be the same and for the area, it is always the unit squared, in this case, feet square or simply (ft²).

A = l*w

A = 29.2 * 9.8 = 286.16 ft²

3 0
3 years ago
Maura spent 1 1/2 hours on science homework. This was 2/3 of the total time she spent on homework. How much time did she spend o
Rudik [331]
It is about 2.25 hours


8 0
3 years ago
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